简介：Inthispaper,itisprovedthat,given3controlpointsA,BandC,ifthecamera'sopticalcenterOliesononeofthethreeplanesperpendiculartotheplaneABCandgoingthroughoneofthethreealtitudesofthetriangleABC,andadditionallyitsprojectionontheplaneABCiswithinthecircumscribedcircleofthetriangle,thatis,Oiswithintheso-called'dangercylinder',thenthecorrespondingP3Pproblem{O,(ABC)}musthave4positivesolutions.Thisresultispurelygeometrical,andmoreinstructive.Itcanbringsomenewinsightintoabetterunderstandingofmultiple-solutionprobleminthePnPproblem,andcouldbeusedassometheoreticalguidetoarrangecontrolpointsinrealapplications.
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